Free Ebook A Concise Text on Advanced Linear Algebra, by Yisong Yang
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A Concise Text on Advanced Linear Algebra, by Yisong Yang
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This engaging textbook for advanced undergraduate students and beginning graduates covers the core subjects in linear algebra. The author motivates the concepts by drawing clear links to applications and other important areas, such as differential topology and quantum mechanics. The book places particular emphasis on integrating ideas from analysis wherever appropriate. For example, the notion of determinant is shown to appear from calculating the index of a vector field which leads to a self-contained proof of the Fundamental Theorem of Algebra, and the Cayley-Hamilton theorem is established by recognizing the fact that the set of complex matrices of distinct eigenvalues is dense. The material is supplemented by a rich collection of over 350 mostly proof-oriented exercises, suitable for students from a wide variety of backgrounds. Selected solutions are provided at the back of the book, making it suitable for self-study as well as for use as a course text.
- Sales Rank: #2130649 in Books
- Published on: 2015-01-12
- Released on: 2014-12-04
- Original language: English
- Number of items: 1
- Dimensions: 8.98" h x .79" w x 5.98" l, 1.05 pounds
- Binding: Paperback
- 331 pages
About the Author
Yisong Yang is Professor of Mathematics at the Polytechnic School of Engineering, New York University. His areas of research are partial differential equations and mathematical physics. He is a Fellow of the American Mathematical Society and the author of Solitons in Field Theory and Nonlinear Analysis (2001).
Most helpful customer reviews
2 of 2 people found the following review helpful.
This is an exciting book for people like me who need an advanced book in Linear Algebra ...
By Charles He
This is an exciting book for people like me who need an advanced book in Linear Algebra which covers the topics extensively and in-depth. It has also collected many exercises which are hard to find to help further the learning and strengthen the skills. I am sure it will stand on my desk for many years to come...
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